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Finding the Fourth Proportional to 446,888.36, 670,121.56 and 162,378.16

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Solution

The fourth proportional to 446,888.36, 670,121.56 and 162,378.16 is: 243,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,888.36 : 670,121.56 = 162,378.16 : x
  2. Step 2: Convert to fraction form
    446,888.36/670,121.56 = 162,378.16/x
  3. Step 3: Cross multiply
    446,888.36x = 670,121.56 × 162,378.16
  4. Step 4: Simplify right side
    446,888.36x = 108,813,105,889.13
  5. Step 5: Solve for x
    x = 108,813,105,889.13/446,888.36
  6. Step 6: Final answer
    x = 243,490.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.